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Simplifying 32a + -16 = 25a + 40 Reorder the terms: -16 + 32a = 25a + 40 Reorder the terms: -16 + 32a = 40 + 25a Solving -16 + 32a = 40 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. -16 + 32a + -25a = 40 + 25a + -25a Combine like terms: 32a + -25a = 7a -16 + 7a = 40 + 25a + -25a Combine like terms: 25a + -25a = 0 -16 + 7a = 40 + 0 -16 + 7a = 40 Add '16' to each side of the equation. -16 + 16 + 7a = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 7a = 40 + 16 7a = 40 + 16 Combine like terms: 40 + 16 = 56 7a = 56 Divide each side by '7'. a = 8 Simplifying a = 8
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